数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (5): 1903-1915.doi: 10.1007/s10473-024-0515-2
Jun Chen, Xuemei Deng†
Jun Chen, Xuemei Deng†
摘要: We study equations in divergence form with piecewise $C^{\alpha }$ coefficients. The domains contain corners and the discontinuity surfaces are attached to the edges of the corners. We obtain piecewise $C^{1,\alpha }$ estimates across the discontinuity surfaces and provide an example to illustrate the issue regarding the regularity at the corners.
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